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Ms Handan’s other daughter, eight-year-old Malak Belkadi, was found alive on the 20th floor but later died in hospital. Her husband Omar Belkadi also died in the fire.

Their third daughter, six-year-old Taxmin, was taken to St Mary’s Hospital and survived.

Another young child, five-year-old Isaac Paulos, has been named as one of the dead after he was identified by dental records. He disappeared as his family tried to escape the blaze.

Two weeks after the devastating fire took hold of Grenfell Tower in west London, investigators are carrying out what Ms McCormack described as a "painstaking, fingertip search" to try and establish how many people died.

"The tragic reality is that due to the intense heat of the fire there are some people who we may never identify," the police detective added.

Survivors and local residents have voiced anger at the police slowly increasing the toll and accuse them of playing down the number of dead.

The Guardian said resident Sajad Jamalvatan had compiled a list which suggested the true figure could be above 120.

Grenfell Tower. (AAP) ()

As well as interviewing residents, police have spoken to others including food delivery companies and schools in order to establish who was inside Grenfell Tower.

The task has been made more difficult by inaccurate tenancy lists and the knowledge that some residents fled their homes and went to higher floors to try and escape the inferno.

Police have so far managed to speak to survivors from 106 of the building's 129 flats, while no one has been traced from the remaining 23 apartments.

"At this stage, we must presume that no one from those 23 flats survived," the police detective explained.